Geometry Scavenger Hunt!

1. Geometry Scavenger Hunt! Lyvia Garza Elizabeth Shelton Naomi Ross

2. Angle: The amount of turning between two lines meeting at a common point. Man Made: Pizza A slice of Pizza has three angles. This slice of pizza is an example of an acute angle. In Nature: Shark Fin A sharks fin forms an acute angle. http://www.marine.usf.edu/images/sharkfin.jpg http://www.dureedesign.com/products/pizza_slice_050p08-B.jpg Text Book: Angle Given two intersectinglines or line segments, the amount of rotation about the point of intersection (the vertex) required to bring one into correspondence with the other is called the angle between them. Angles are usually measured in degrees (denoted), radians (denoted rad, or without a unit), or sometimes gradients (denoted grad). http://mathworld.wolfram.com/Angle.html

3. Arc: A section of a cure, part of a circle. Man Made: Hair Band The red hair band is an example of an arc because the upper part of the band shows half a cure of a circle. http://www.clipartreview.com/_gallery/_TN/7706151.gif Text Book: Arc Naturally Occurring: Rainbow In particular, an arc is any portion (other than the entire curve) of the circumference of a circle. An arc corresponding to the central angle is denoted: A rainbow is an arc because is has a clear, round curve. . http://www.krystalrose.com/angels/img/back/rainbow.jpg http://mathworld.wolfram.com/Arc.html

4. Chord: The line segment between two points on a given curve. Man Made: Steering Wheel Naturally Occurring: Spider Web This steering wheel has a chord but most steering wheels have three spokes. Every web is different but cords can be found in circular webs. http://www.ransen.com/repligator/Images/Spider1.jpg Text Book: Chord http://www.partsemporium.co.uk/images/Polo_steering_wheel.jpg http://en.wikipedia.org/wiki/Image:Chord_in_mathematics.png

5. Circle: A circle is the collection of points in a plane that are all the same distance from a fixed point. The fixed point is called the center. A line segment joining the center to any point on the circle is called a radius. Man Made: Face of a Wall Clock Naturally Occurring: Sunflower The face of a round wall clock is a circle. The hands on the clock can serve as a radius. The center of this sunflower forms a circle. Text Book: Circle http://www.fyera.org/sunflower.gif Microsoft Clipart http://en.wikipedia.org/wiki/Circle

6. Cone:A solid shape with an elliptical or circular base and a curved surface that tapers to a point (vertex). Man Made: Traffic Cone Naturally Occurring: Mt. Fuji A traffic cone is an example of a cone because the inner part of the cone has a circular base and it has a vertex. Mt. Fuji is a mountain in Japan. It is cone shape because if you were to cut it in the center it would have a circular base. It also has a point of vertex. http://f-cone.or.jp/images/pic/mt_fuji.jpg http://school.discovery.com/clipart/images/trafficcone4c.gif Text Book Image: Cone Volume of a Cone: πr2h / 3 Surface Area of a Cone: πr1 + πr2 www.gomath.com/geometry/cone.php

7. Congruent Items:Have the same size, shape, and measure. Man Made: Hot Dog A hot dog is congruent because if you cut it in half vertically or horizontally it would have two equal sides. Naturally Occurring: Butterfly http://presentpicker.com/ppp/product/talkingp/hotdog2m.gif Butterflies wings are a perfect example of congruent items because the are exactly the same. All the designs, shapes and figures on the wings are alike. Text Book: Congruent Items • Congruent Figures have the same shape and size. http://fohn.net/monarch-butterfly-pictures/monarch-butterfly_800x600.jpg • Congruent Segments have the same length. www.icoachmath.com/Sitemap/CongruentAngles.html

8. Cube: A three-dimensional figure having six matching square sides. Man Made: Dice Naturally Occurring: Crystal Dice have six square-shaped sides with dots, numbers, or pictures on each side and are normally used for counting and probability. A pyrite crystal is natural and is not shaped by man. Microsoft Clipart http://en.wikipedia.org/wiki/Pyrite Text Book: Cube A = length of an edge www.mathleague.com

9. Cylinder:A three-dimensional figure having two parallel bases that are congruent circles. Man Made: Coke Can A can is a cylinder because it has a solid shape with one curved surface and two equal circular faces. http://www.denisonsoccer.com/images/Coke%20Can.jpg Naturally Occurring: Tree Trunk A tree trunk is a great example of a cylinder because it is a three dimensional figure with two parallel lines. If it was cut it would be clear to see that it has congruent circles. http://www.acmeme.org/all/local/cicaidas_may_2004/tree_trunk_covered.JPG Text Book: Cylinder Volume: πr2h Surface Area: 2πrh + 2πr2h http://mathworld.wolfram.com/Cylinder.html

10. Ellipse: A closed plane curve resulting from the intersection of a circular cone and a plane cutting completely through it; "the sums of the distances from the foci to any point on an ellipse is constant." Man Made: Face of a Watch Naturally Occurring: Saturn’s Rings The faces of both of these watches are elliptical. "Saturn's 30-year orbit is not a perfect circle. It has the shape of an ellipse. http://www.projects-us.com/assets/images/ellipse_watch.gif http://science.nasa.gov/headlines/y2002/13dec_saturn.htm Text Book: Ellipse http://www.gomath.com/geometry/ellipse.jpg

11. Intersecting Lines: To cross over one another, in set where they overlap (common elements). Man Made: Traffic Intersection Naturally Occurring: Cracks A street or traffic intersection shows two lines intersecting at point in the road. The picture of dry mud in Brazil is a great example of lines intersecting. http://ccl.northwestern.edu/netlogo/models/models/Sample%20Models/Social%20Science/Unverified/Traffic%20Intersection.png http://minerals.gps.caltech.edu/brazil/pictures/shuster-pictures/shuster's-best/cracks.jpg Text Book: Intersecting Lines Lines that intersect in a point are called intersecting lines. http://www.grc.nasa.gov/WWW/K-12/p_test/math_9/graphics/question25b.gif

12. Line: We may think of a line as a "straight" line, except that in geometry, a line extends forever in both directions. We write the name of a line passing through two different points A and B as "line AB" or as . The two-headed arrow over AB signifies a line passing through points A and B. Man Made: Jagged Line Naturally Occurring: Trees In this picture, a jagged line is used to signify a rise and fall in sales on a chart. These trees form a line. The trees have the potential for continued growth. Text Book: Line The following is a diagram of line AB. Microsoft Clipart http://www.alansislenphotography.com/DestinationManAndNature/slides/Tree%20Line.jpg http://strader.cehd.tamu.edu/Mathematics/Geometry/PolygonLesson/Details/example1.gif

13. Oval: An oval is a curve resembling a squashed circle but, unlike the ellipse, without a precise mathematical definition. The word oval is derived from the Latin word "ovus" for egg. Unlike ellipses, ovals sometimes have only a single axis of reflection symmetry (instead of two). Man Made: Oval Throw Rug Naturally Occurring: Chicken Egg This rug is an example of an oval shape because it is curved and elongated like a smashed circle. It is an example of an oval with only a single axis of reflection symmetry. Many animals lay eggs that are shaped like ovals. http://school.discovery.com/clipart/clip/egg.html www.staceyssimplestuff.com/rag-rug-throw.htm Text Book: Oval Ovals can be constructed with a compass by joining together arcs of different radii such that the centers of the arcs lie on a line passing through the join point. http://mathworld.wolfram.com/Oval.html

14. Parallel Lines: Two lines in the same plane which never intersect are called parallel lines. If line 1 is parallel to line 2, we write this as: line 1 || line 2 Man Made: Bench Naturally Occurring: Tree Bark The parallel boards on this park bench are the same distance apart, providing a stable sitting area for people to sit on. The bark of this tree form parallel lines. http://www.freefoto.com/preview.jsp?id=33-02-3 Text Book: Parallel Lines Microsoft Clipart http://www.worsleyschool.net/science/files/parallel/maindiagram.gif

15. Pentagon: A polygon with five sides. Man Made: Baseball Home Plate Naturally Occurring: Fuchsia Flower The baseball home plate is a great example of a pentagon because it has five sides. The fuchsia flower has five sides. The white center also appears to have five sides. http://www.istockphoto.com/file_thumbview_approve/500009/2/Baseball___Home_Plate.jpg http://www.fotosearch.com/comp/BET/BET050/BF0100000022.jpg Text Book: Pentagon A pentagon is a five-sided polygon. Commonly, the term "pentagon" is used to refer to the regular pentagon. http://mathworld.wolfram.com/Pentagon.html

16. Plane: The whole space in which the work is carried out is a single plane. It is a two-dimensional object that may be visualized as a flat infinite sheet of paper. Man Made: 2 Dimensional Drawing Naturally Occurring: Cliff This computer generated drawing of a pyramid is portrayed as a two-dimensional object that combines two intersecting planes. The side of a cliff is a plane. http://www.freefoto.com/preview.jsp?id=15-51-55 Microsoft Clipart Text Book: Plane Two intersecting planes in three-dimensional space. http://en.wikipedia.org/wiki/Plane_%28mathematics%29

17. Point: We may think of a point as a "dot" on a piece of paper. A point has no length or width, it just specifies an exact location. Man Made: Drawing Naturally Occurring: Moon Points on a wavy line. The points at each end of this wavy line specify the beginning point and endpoint of the line. The full moon is a point in the sky. http://www.freefoto.com/preview.jsp?id=15-87-1 Microsoft Clipart Text Book: Point The following is a diagram of points A, B, C, and E: http://www.studyzone.org/mtestprep/math8/a/locate4.gif

18. Prism: A solid having bases or ends that are parallel, congruent polygons and sides that are parallelograms. Man Made: Rubrics Cube Naturally Occurring: Rock Salt Dodecagonal & Star Prism Coarsely ground, granulated common salt. http://www.speedcubing.com/ton/prism.htm Text Book: Prisms http://www.mathleague.com/help/geometry/3space.htm#prism http://www.hubpak.com/tiles.htm The figure below is a pentagonal prism (the bases are pentagons). The figure below is a triangular prism (the bases are triangles). The figure below is a hexagonal prism (the bases are hexagons).

19. Pyramid: A solid having a polygonal base, and triangular sides that meet in a point. Man Made: Pyramids Naturally Occurring: Anthill About 2,550 B.C., King Khufu, the second pharaoh of the fourth dynasty, commissioned the building of his tomb at Giza. Anthills are common and can be found in many areas. http://www.orneveien.org/adventure/2002topaz/topaz-1160ant-hill.jpg http://www.ancientegypt.co.uk/pyramids/home.html Text Book: Pyramid A pyramid is a space figure with a square base and 4 triangle-shaped sides. http://www.gomath.com/geometry/pyramid.php

20. Quadrilateral: A quadrilateral is a four-sided polygon. The sum of the angles of a quadrilateral is 360 degrees. Man Made: Ruler Naturally Occurring: Butterfly Wings A ruler is a quadrilateral most commonly called a rectangle. Rulers are used for drawing straight lines and/or measurement. The black and white marks on the top of the wings of the butterfly are quadrilaterals. http://www.freefoto.com/preview.jsp?id=01-03-2 Microsoft Clipart Text Book: Quadrilateral http://en.wikipedia.org/wiki/Quadrilateral

21. Ray: A line that has a starting point but no endpoint. Man Made: Sound Wave Naturally Occurring: Sun’s Rays A sound wave is a good example of a man made ray because it starts at the source that created the sound and the sound wave can travel for a vast immeasurable distance. A sun’s rays are an example of ray because the starting point is at the sun and there is no ending point. http://www.ambrosevideo.com/resources/docs/82.JPG http://astronews.prao.psn.ru/encycl/G/galo.phtml Text Book: Ray In geometry, a ray is usually taken as a half-infinite line (also known as a half-line) with one of the two points, A and B, taken to be at infinity. http://mathworld.wolfram.com/Ray.html

22. Similar Items: Having the same shape; having corresponding sides proportional and corresponding angles equal. Man Made: Playing Cards Naturally Occurring: Water Lily These cards come in the regular size as well as mini size. The Lilies are similar to one another! http://www.freefoto.com/preview.jsp?id=12-18-11&k=Water+Lily http://rock_afire.tripod.com/sppcollect/small/small_items3.html Text Book: Similar Items http://www.mdk12.org/instruction/clg/public_release/geometry/G2_E3_I1.html

23. Sphere: A three dimensional solid that is perfectly round, a ball. Man Made: Pool Table Ball Naturally Occurring: The Earth A pool table ball is a sphere because it is perfectly round and smooth. The Earth is three dimensional and shaped like a ball. http://www.hcso.org/images/ClipArt/8Ball.gif Text Book: Sphere http://files.vector-images.com/clipart/globe_shlp1.gif Volume of a Sphere 4πr3 / 3 Surface Area of a Sphere 4 πr2 www.gomath.com/geometry/sphere.php

24. Square: A quadrilateral with four equal sides and four right angles. The opposite sides are parallel. Two diagonals bisect at right angles. Squares have four lines of symmetry. Man Made: Checker Board A great example of a square is a checker board because the outer outline is shaped like a square. There are also several squares inside the square. Naturally Occurring: Square Flower The outer petals of the square flower have four parallel sides and meet at four 90۫ angles. http://www.faqs.org/docs/javap/c3/checkerboard.gif Text Book: Square http://www.worth1000.com/entries/26500/26949_w.jpg Perimeter of a square: L=4a http://mathworld.wolfram.com/Square.html

25. Transversal: A line that passes through two or more other coplanar lines at different points; especially when the other coplanar lines are also parallel. Man Made: Bridge Naturally Occurring: Spider Web The parallel lines of the bridge and the handrail are intersected by the trusts of the bridge. Without the trusts, the bridge would collapse. The parallel lines of a spider’s web are intersected with a transversal. http://www.freefoto.com/preview.jsp?id=01-17-4 Microsoft Clipart Text Book: Transversal Line If a is parallel to b, and a transversal t intersects a forming an angle with measure X, t must also form an angle with measure X with b. Transversal tintersects two parallel lines, a and b. http://en.wikipedia.org/wiki/Transversal_line

26. Triangle: Triangles are three-sided polygons. The sum of its angles is 180 degrees. Man Made: Protractor Naturally Occurring: Pine Tree A protractor, used for drafting in architecture has a right triangle. A pine tree grows in the shape of a triangle. Microsoft Clipart Text Book: Triangle http://www.oplin.org/tree/fact%20pages/pine_white/pine_white.html Given the base and the height of a triangle, we can find the area. Given the area and either the base or the height of a triangle, we can find the other dimension. The formula for area of a triangle is: where is the base, is the height http://www.mathwarehouse.com/geometry/triangles/area/index.html

27. Resources Page All images and content information have links to a location on the internet. Some images were found via Microsoft Clipart.